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Finding the Fourth Proportional to 25,638.40, 38,467.20 and 10,067.20

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Solution

The fourth proportional to 25,638.40, 38,467.20 and 10,067.20 is: 15,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638.40 : 38,467.20 = 10,067.20 : x
  2. Step 2: Convert to fraction form
    25,638.40/38,467.20 = 10,067.20/x
  3. Step 3: Cross multiply
    25,638.40x = 38,467.20 × 10,067.20
  4. Step 4: Simplify right side
    25,638.40x = 387,256,995.84
  5. Step 5: Solve for x
    x = 387,256,995.84/25,638.40
  6. Step 6: Final answer
    x = 15,104.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.